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Finding the Fourth Proportional to 432,816, 649,253.44 and 133,278.08

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Solution

The fourth proportional to 432,816, 649,253.44 and 133,278.08 is: 199,926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,816 : 649,253.44 = 133,278.08 : x
  2. Step 2: Convert to fraction form
    432,816/649,253.44 = 133,278.08/x
  3. Step 3: Cross multiply
    432,816x = 649,253.44 × 133,278.08
  4. Step 4: Simplify right side
    432,816x = 86,531,251,916.60
  5. Step 5: Solve for x
    x = 86,531,251,916.60/432,816
  6. Step 6: Final answer
    x = 199,926.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.